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Finding the Fourth Proportional to 48,202.07, 66,519.54 and 27,772.87

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Solution

The fourth proportional to 48,202.07, 66,519.54 and 27,772.87 is: 38,326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,202.07 : 66,519.54 = 27,772.87 : x
  2. Step 2: Convert to fraction form
    48,202.07/66,519.54 = 27,772.87/x
  3. Step 3: Cross multiply
    48,202.07x = 66,519.54 × 27,772.87
  4. Step 4: Simplify right side
    48,202.07x = 1,847,438,204.28
  5. Step 5: Solve for x
    x = 1,847,438,204.28/48,202.07
  6. Step 6: Final answer
    x = 38,326.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.